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2008 Fiscal Year Self-evaluation Report

Iwasawa conjecture for a hyperbolic threefold and its application to number theory

Research Project

  • PDF
Project/Area Number 18540203
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionChiba University

Principal Investigator

SUGIYAMA Kennichi  Chiba University, 大学院・理学研究科, 教授 (90206441)

Project Period (FY) 2006 – 2009
Keywords3次元双曲多様体 / Ruelle L-関数 / 特殊値 / 岩澤理論 / Lichtenbaum予想
Research Abstract

整数論におけるゼータ関数の理論を3次元双曲多様体上で展開し、整数論における岩澤理論の類似を確立するのが目標である。

  • Research Products

    (8 results)

All 2007 2006

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (4 results)

  • [Journal Article] An analog of the Iwasawa conjecture for a compact hyperbolic threefold2007

    • Author(s)
      K.Sugiyama
    • Journal Title

      J. Reine. Angew. Math 613

      Pages: 35-50

    • Peer Reviewed
  • [Journal Article] The geometric Iwasawa conjecture from a viewpoint of the arithmetic topology2007

    • Author(s)
      K.Sugiyama
    • Journal Title

      RIMS Kokyuroku Bessatu 4

      Pages: 235-247

    • Peer Reviewed
  • [Journal Article] On the Hodge conjecture and the Tate conjecture for the Hilbert schemes of an abelian surface2006

    • Author(s)
      K.Sugiyama
    • Journal Title

      Math. Nach. 279(No.1-2)

      Pages: 217-231

    • Peer Reviewed
  • [Journal Article] Some remarks on the Brylinski-Radon and the Fourier ransforms2006

    • Author(s)
      K.Sugiyama
    • Journal Title

      Jour. Funct. Anal. 235

      Pages: 543-558

    • Peer Reviewed
  • [Presentation] A geometric analog of the Birch and Swinnerton-Dyer conjecture for a hyperbolic threefold2007

    • Author(s)
      K.Sugiyama
    • Organizer
      Geometry and Quantization
    • Place of Presentation
      Stekulov 研究所, モスクワ
    • Year and Date
      20070900
  • [Presentation] A geometric analog of the Birch and Swinnerton-Dyer conjecture for a hyperbolic threefolds2007

    • Author(s)
      K.Sugiyama
    • Organizer
      Spectral Analysis in Geometry and Number Theory
    • Place of Presentation
      名古屋大学
    • Year and Date
      20070800
  • [Presentation] On special value of Ruelle L-function and a regulator2007

    • Author(s)
      K.Sugiyama
    • Organizer
      SFB478
    • Place of Presentation
      Munster 大学, ミュンスタ
    • Year and Date
      20070800
  • [Presentation] A geometric analog of the Iwasawa conjecture for hyperbolic threefolds2006

    • Author(s)
      K.Sugiyama
    • Organizer
      MSJ-IHES joint workshop
    • Place of Presentation
      IHES 研究所, パリ
    • Year and Date
      20061100

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Published: 2010-06-11   Modified: 2016-04-21  

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